444214000000404 has 36 divisors (see below), whose sum is σ = 1123214646153600. Its totient is φ = 148026449591760.

The previous prime is 444214000000403. The next prime is 444214000000447. The reversal of 444214000000404 is 404000000412444.

444214000000404 is a `hidden beast` number, since 4 + 44 + 214 + 0 + 0 + 0 + 0 + 0 + 0 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444214000000403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1870035492 + ... + 1870273019.

It is an arithmetic number, because the mean of its divisors is an integer number (31200406837600).

Almost surely, 2^{444214000000404} is an apocalyptic number.

It is an amenable number.

444214000000404 is an abundant number, since it is smaller than the sum of its proper divisors (679000646153196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444214000000404 is a wasteful number, since it uses less digits than its factorization.

444214000000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740311820 (or 3740311815 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444214000000404 its reverse (404000000412444), we get a palindrome (848214000412848).

The spelling of 444214000000404 in words is "four hundred forty-four trillion, two hundred fourteen billion, four hundred four", and thus it is an aban number.